A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator
Joint Authors
Naji, Raid Kamel
Abdulghafour, Ahmed Sami
Source
Journal of Applied Mathematics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-06
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
In this paper, a mathematical model of a prey-predator system with infectious disease in the prey population is proposed and studied.
It is assumed that there is a constant refuge in prey as a defensive property against predation and harvesting from the predator.
The proposed mathematical model is consisting of three first-order nonlinear ordinary differential equations, which describe the interaction among the healthy prey, infected prey, and predator.
The existence, uniqueness, and boundedness of the system’ solution are investigated.
The system's equilibrium points are calculated with studying their local and global stability.
The persistence conditions of the proposed system are established.
Finally the obtained analytical results are justified by a numerical simulation.
American Psychological Association (APA)
Abdulghafour, Ahmed Sami& Naji, Raid Kamel. 2018. A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator. Journal of Applied Mathematics،Vol. 2018, no. 2018, pp.1-17.
https://search.emarefa.net/detail/BIM-1175984
Modern Language Association (MLA)
Abdulghafour, Ahmed Sami& Naji, Raid Kamel. A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator. Journal of Applied Mathematics No. 2018 (2018), pp.1-17.
https://search.emarefa.net/detail/BIM-1175984
American Medical Association (AMA)
Abdulghafour, Ahmed Sami& Naji, Raid Kamel. A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator. Journal of Applied Mathematics. 2018. Vol. 2018, no. 2018, pp.1-17.
https://search.emarefa.net/detail/BIM-1175984
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1175984